Ulam stability of bihomomorphisms and biderivations in Banach algebras
© 2020, Springer Nature Switzerland AG. Using the fixed point method and the direct method, we prove the Hyers–Ulam stability of biderivations and bihomomorphisms in Banach algebras and unital C∗-algebras, associated with the bi-additive functional inequality: ‖f(x+y,z+w)+f(x+y,z-w)+f(x-y,z+w)+f(x-y...
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| Main Authors: | , , |
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| Format: | Journal |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081725094&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68449 |
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| Institution: | Chiang Mai University |
| Summary: | © 2020, Springer Nature Switzerland AG. Using the fixed point method and the direct method, we prove the Hyers–Ulam stability of biderivations and bihomomorphisms in Banach algebras and unital C∗-algebras, associated with the bi-additive functional inequality: ‖f(x+y,z+w)+f(x+y,z-w)+f(x-y,z+w)+f(x-y,z-w)-4f(x,z)‖≤∥s(2f(x+y,z-w)+2f(x-y,z+w)-4f(x,z)+4f(y,w))∥,where s is a fixed nonzero complex number with | s| < 1. |
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